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Finding the Fourth Proportional to 849.21, 1,171.77 and 476.20

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Solution

The fourth proportional to 849.21, 1,171.77 and 476.20 is: 657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.21 : 1,171.77 = 476.20 : x
  2. Step 2: Convert to fraction form
    849.21/1,171.77 = 476.20/x
  3. Step 3: Cross multiply
    849.21x = 1,171.77 × 476.20
  4. Step 4: Simplify right side
    849.21x = 557,996.87
  5. Step 5: Solve for x
    x = 557,996.87/849.21
  6. Step 6: Final answer
    x = 657.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.